Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 125r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.73.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 126v); this page is its right half.

The machine reads it as

  1. (4) Summat otsstii, quadratus V
  2. 5)... 1. Ip et IHM qua dratus V
  3. 1(6) Numt. d +X
  4. (9) Summa Imi er Idi quadratus d
  5. B A0) Differenta
  6. Imiet IIdi quadratus X
  7. qdi et Ilshi quadratus Z
  8. Collatio sup-
  9. (1) per (1(6) al es d +X
  10. 2II 256
  11. 2d+ 2X Num. L
  12. 2d- 2XV
  13. 2d - 2X- 47 1I)
  14. Tella d. 4 2X + 2d ~ 2X, 4d
  15. 2E in a 9 us 576
  16. 3ta 57b1661
  17. 900 1n4 738
  18. (14) po() () C) 2 efuda X
  19. (7) per ( 3) (7 (1) 3vi- 29( d e per u
  20. 20 (15) Ergo per (19) Y p v2 + X
  21. (6) Ergo per ((B) d Z V +X ais
  22. (19) Tertelligat X +2CX +
  23. so (21) Ergo X H v -e.
  24. 2gd (33) per (21) (22)
  25. X Z 2d ⊓ f 362] 188
  26. dH 2 + 9,32t9 41
  27. 15 11 16 A16
  28. d =41
  29. 12) per 3) (8) (1) 2y- a7 2d 2 2
  30. 13) pr (12) seu y d- 32
  31. (15) Ergo per (11) vop
  32. (18) fiet ex (s (7) R2
  33. 9= Se Z 12 (22) intelligatur P, , pe se
  34. dux 913
  35. ii 2igc a q0o
  36. 900 144
  37. y+
  38. Xp 5 = el sive X = C. Ergo
  39. 2d a) He
  40. dunt. 3 12 1 Differentia c Mhi aequatur Quadrato ex 25C
  41. (2) .... II. V2 y al
  42. (3)... m III p - al
  43. Suppositio IIda
  44. (17) Num II. d X
  45. (7Z. CH7.
  46. EH Ve 2.
  47. X .H
  48. (qI (20) fer per (19) et (15) () +rex +e V 7
  49. Suppositio Ima
  50. (1) Num 1. al.
  51. positionum
  52. B
  53. 73F
  54. sive per (18) (21). (23) +e
  55. ea
  56. Nam (t per (6). (8) X +Z,
  57. L 2g laporsine prsis B)
  58. (25) demati seudst (12
  59. tp
  60. 1681 +57b 2257
  61. 1 512p25602
  62. d= X- 271681 - 576.8
  63. 26e256C2
  64. eBHP
  65. 36 (1681. quadratis 4p5 ls3 -ap esp 1
  66. Ap-a spI.
  67. 52+576 quadratus aPF H + A s
  68. Y5- 21
  69. 3F00+ Nes quadmatus
  70. 22 2257
  71. 15+-8l5 +kli.
  72. vY (F 2VyE es
  73. Sonendoqus e X vG fit 2X + 29∞ 18,54
  74. unde 5 145V +
  75. aequandus quadrato, ergo
  76. upo _ Ergo ZH 94 49, 9
  77. erit ZH qu sive 1 e. Q q aequatur
  78. qui + X Eogo X
  79. 6, 162t +6s 1rV 1 (51 +45 +l4
  80. 10 1 (5+ (= 25 10) - 105210
  81. quadrato, sive s25 + 14 + 6 poso
  82. fiat f9 P65
  83. 1 94 49+El
  84. F sne l
  85. qu a
  86. 2 5b 1592 = 1 dabit.
  87. + 4 unde radix
  88. 1692) +9 f LH.
  89. serp 5- 1
  90. ets
  91. quso
  92. qei
  93. ag se 5. lri 4594
  94. aequatur quadralo spatet seu a9t- 49l H F g 4 sCa
  95. sive 5425t, s 2Vsun+
  96. 41 = 85l)
  97. s- 251+Crcos et Z +X quadeatus Ergo
  98. 14+ 291+ 14 a
  99. Quod et fieri queat ponumus
  100. Si 12 fiet sp e
  101. sis
  102. 1681 - 576
  103. 256CZ 256
  104. 2562l 256
  105. et eos
  106. -23 EEpS fiet: Xe he, eppe.
  107. Quadato, tg
  108. nargo f4+c
  109. +2
  110. ia
  111. 4 256q
  112. e
  113. 1+ s
  114. tr 4 - 1. Ergo f.
  115. e tEeq
  116. 1681 +5 76 116-24+1
  117. Ergo 16- 24 +1 + 44
  118. H 16 + 24 + 2
  119. a+ b +C +e+ f tgth () Num III. d. r 2
  120. 4 161

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 125r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0251?run=74